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Simplifying 18(10x + y) = 2(10y + x) (10x * 18 + y * 18) = 2(10y + x) (180x + 18y) = 2(10y + x) Reorder the terms: 180x + 18y = 2(x + 10y) 180x + 18y = (x * 2 + 10y * 2) 180x + 18y = (2x + 20y) Solving 180x + 18y = 2x + 20y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 180x + -2x + 18y = 2x + -2x + 20y Combine like terms: 180x + -2x = 178x 178x + 18y = 2x + -2x + 20y Combine like terms: 2x + -2x = 0 178x + 18y = 0 + 20y 178x + 18y = 20y Add '-18y' to each side of the equation. 178x + 18y + -18y = 20y + -18y Combine like terms: 18y + -18y = 0 178x + 0 = 20y + -18y 178x = 20y + -18y Combine like terms: 20y + -18y = 2y 178x = 2y Divide each side by '178'. x = 0.01123595506y Simplifying x = 0.01123595506y
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